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Math Introduction to Sets and Logic 150 150 Deborah

Math Introduction to Sets and Logic

Overview Thinking about sets of objects and numbers is as simple as counting and as complex as infinity and transfinite numbers. Sets are an essential underlying concept of mathematics and logic. Roster or Description Mathematicians use the language of set theory to describe sets. For example, small, finite sets can be defined using the roster…

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Math Review of Infinity 150 150 Deborah

Math Review of Infinity

Overview Infinity in math means endlessness, limitlessness, and unboundedness. Different levels and symbols exist, which depend on how it is defined. There are many applications in science for the endlessly fascinating concept of infinity. Endlessness This is the most familiar concept of infinity. The number line is endless in both directions, stretching from its origin…

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Math Review of Solving Systems of Equations Using Elimination 150 150 Deborah

Math Review of Solving Systems of Equations Using Elimination

Overview One of the methods for solving systems of equations with two variables adds the equations together and then eliminates one variable. It is a useful strategy when solving by substitution would be too cumbersome. Adding Systems of Equations Entire systems of equations can be added just as easily as adding polynomials. Suppose one equation…

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Math Review of Solving Systems of Linear Inequalities 150 150 Deborah

Math Review of Solving Systems of Linear Inequalities

Overview Similar to systems of linear equations, systems of linear inequalities can be solved graphically, by using substitution, or by using elimination. If the systems are solved graphically, or represented on the coordinate plane, the location of the solutions will depend upon the nature of the inequality. Review of Linear Inequalities The solution set for…

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The FOIL Method of Factoring Polynomials when A Is Not Equal to 1 150 150 Deborah

The FOIL Method of Factoring Polynomials when A Is Not Equal to 1

Overview When the a term has a coefficient of 1, polynomials can be factored into the form (a +b) (a +c) without worrying about its effect. However, if that a term has a coefficient not equal to 1, the coefficient must be considered when the polynomial is factored. Review of FOIL Suppose (x + 2)…

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Math Review of Solving Systems of Equations Using Substitution 150 150 Deborah

Math Review of Solving Systems of Equations Using Substitution

Overview A system of equations refers to at least 2 equations that have at least one variable in common. Each equation gives a piece of information about the variables that it contains. One way the variables can be solved is by using substitution. Solving Systems of Equations with One Variable Suppose that a system of two…

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Back to School Math Review of Positive and Negative Numbers 150 150 Deborah

Back to School Math Review of Positive and Negative Numbers

Overview Think of the number zero as the center of the number line. It is neither positive nor negative. Negative numbers are on the left side of zero on the number line, which stretches to infinity going left. Positive numbers are on the right side of zero on the number line, which stretches to infinity…

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What Information Does a Chemical Equation Tell Us? 150 150 Deborah

What Information Does a Chemical Equation Tell Us?

Overview A chemical reaction can be described by discussing the chemical substances at all steps. It is more efficient to use a chemical equation than words, and there are agreed-upon conventions to summarize the reaction, the substances that take part in it, the products, and the amounts. Chemical Reaction A chemical reaction starts with substances…

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Review of How to Study Chemistry 150 150 Deborah

Review of How to Study Chemistry

Overview Many students in high school decide to take a chemistry class to fulfil a science requirement for graduation, in order to attend college, or as a basis for a later career in medicine or one of the other sciences. In order to be successful in chemistry, students take part in lab experiments and participate…

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Scientific Measurement of Length, Mass, Volume, and Temperature 150 150 Deborah

Scientific Measurement of Length, Mass, Volume, and Temperature

Overview Accurate observations of phenomena are one of the keys to success in lab sciences such as chemistry, physics, and biology. The metric system, or international system (SI), is used to describe measurements of many quantities, such as length, mass, volume, and temperature. Scientific Measurement of Length The measurement of length was one of the…

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